Equations and Inequalities over Domains (Mathematica Tutorial)

Mathematica normally assumes that variables which appear in equations can stand for arbitrary complex numbers. But when you use Reduce, you can explicitly tell Mathematica ...

Introduction to Numerical Differential ... (Mathematica Tutorial)

Numerical solution of differential equations. This generates a numerical solution to the equation y^′(x)y(x) with 0<x<2. The result is given in terms of an ...

NDSolve (Built-in Mathematica Symbol)

NDSolve[eqns, y, {x, x_min, x_max}] finds a numerical solution to the ordinary differential equations eqns for the function y with the independent variable x in the range ...

Solving Equations Involving Power Series (Mathematica Tutorial)

Solving equations involving power series. Here is a power series. This gives an equation involving the power series.

Numerical Solution of Differential ... (Mathematica Tutorial)

The function NDSolve discussed in "Numerical Differential Equations" allows you to find numerical solutions to differential equations. NDSolve handles both single ...

Delay Differential Equations (Mathematica Tutorial)

A delay differential equation is a differential equation where the time derivatives at the current time depend on the solution and possibly its derivatives at previous times: ...

Chini Equations (Mathematica Tutorial)

Chini equations are a generalization of Abel and Riccati equations. This solves a Chini equation.

Solve an Equation (Mathematica How To)

Mathematica has many powerful features which enable you to solve many kinds of equations.

Clairaut Equations (Mathematica Tutorial)

A Clairaut equation is a first-order equation of the form A remarkable feature of this nonlinear equation is that its general solution has a very simple form. This is an ...

DiscreteRiccatiSolve (Built-in Mathematica Symbol)

DiscreteRiccatiSolve[{a, b}, {q, r}] gives the matrix x that is the stabilizing solution of the discrete algebraic Riccati equation ConjugateTranspose[a].x.a - x - ...